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Finding the Fourth Proportional to 150.73, 208.05 and 117.92

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Solution

The fourth proportional to 150.73, 208.05 and 117.92 is: 162.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.73 : 208.05 = 117.92 : x
  2. Step 2: Convert to fraction form
    150.73/208.05 = 117.92/x
  3. Step 3: Cross multiply
    150.73x = 208.05 × 117.92
  4. Step 4: Simplify right side
    150.73x = 24,533.78
  5. Step 5: Solve for x
    x = 24,533.78/150.73
  6. Step 6: Final answer
    x = 162.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.